基于非交错有限体积格式和 k-ω 湍流模型模拟叶栅湍流分离流动

NUMERICAL STUDY OF THE CASCADE TURBULENT SEPARATED FLOW BASED ON NON STAGGERED FINITE VOLAME SCHEME AND A k ω TURBULENCE MODEL

关键词:  压气机  叶栅流  纳维尔－斯托克斯方程  湍流模型  有限体积法

Key words:  Air compressor  Cascade flow  Navier Stokes equation  Turbulence model  Finite volume method

摘要:

发展了一种求解任意坐标系下二维Ｎ－Ｓ方程的非交错有限体积法和一种高阶ＴＶＤ对流格式。采用一种ｋ－ω湍流模型和几种不同的ｋ－ω模型对叶栅湍流分离流动进行了详细的分析。数值结果与得到的实验结果比较表明，此方法不仅精度高，而且具有较好的数值稳定性。

Abstract:

A finite volume numerical method for the solution of two dimensional Navier Stokes equation in general curvilinear coordinates was presented.One or several k ω turbulence models were used to simulate the turbulent flow effects.A non stagered grid system was employed and a specific scheme was presented to suppress the pressure oscillations.A new TVP high order convective differencing scheme was used to improve accuracy and stability in turbulent computations.This method was applied to the turbulent separated flow inside the cascades.The detailed results of computations from different turbulence models were given and the comparisons between numerical results and available experimental data were obtained